Title
On the convergence of LMS filters under periodic signals
Abstract
The response of the Least Mean Square (LMS) algorithm to deterministic periodic inputs is considered. Under these conditions, initial values of the tap-weight vector can be identified that lead to periodic responses of LMS filters. The stability of these periodic responses determines the long-term convergence of the filter. This analysis presents some advantages over the classical studies based on the correlation matrix, because it leads to more accurate results and a better understanding of the filter operation. It is also shown that such an operation does not change essentially for more realistic inputs, as when the desired response is perturbed with a zero-mean random signal. Finally, to validate the obtained results, some simulations and experiments have been conducted for an adaptive noise canceller.
Year
DOI
Venue
2013
10.1016/j.dsp.2012.12.007
Digital Signal Processing
Keywords
Field
DocType
periodic response,periodic signal,lms filter,better understanding,periodic input,classical study,adaptive noise canceller,mean square,correlation matrix,filter operation,accurate result,stability analysis,lms algorithm
Convergence (routing),Least mean squares filter,Mathematical optimization,Covariance matrix,Periodic graph (geometry),Mathematics
Journal
Volume
Issue
ISSN
23
3
1051-2004
Citations 
PageRank 
References 
0
0.34
14
Authors
3
Name
Order
Citations
PageRank
Ignacio E. Parra100.34
Wilmar Hernandez22815.89
Eduardo Fernandez300.34